Results 31 to 40 of about 22,610 (167)

The existence and uniqueness of solutions to a functional equation arising in psychological learning theory

open access: yesDemonstratio Mathematica, 2023
The paradigm of choice practice represents the psychological theory of learning in the development of moral judgment. It is concerned with evaluating the implications of several choices and selecting one of them to implement.
Turab Ali   +3 more
doaj   +1 more source

On a Certain Functional Equation and Its Application to the Schwarz Problem

open access: yesMathematics, 2023
The Schwarz problem for J-analytic functions in an ellipse is considered. In this case, the matrix J is assumed to be two-dimensional with different eigenvalues located above the real axis.
Vladimir Nikolaev, Vladimir Vasilyev
doaj   +1 more source

Functional equations with extrema

open access: yesJournal of Mathematical Analysis and Applications, 1978
in which p and q are known functions, and u is the unknown function, originate from multistage control processes of discrete type (see [I, 21). Bellman [3] showed that if p(.z, U) =: X* + vz and q(x, n) x + an, then the functional equation has a unique solution u(x) = cxz (for some constant c) in a class of functions which pass through the origin, and ...
T Howroyd   +3 more
openaire   +3 more sources

Eigenvalues and Functional Equations [PDF]

open access: yesProceedings of the American Mathematical Society, 1957
Abstract : The purpose of this paper was to illustrate how the techniques of the theory of dynamic programming may be used to convert a number of eigenvalue problems, where one is interested only in maximum or minimum values, into problems involving recurrence relations.
openaire   +3 more sources

Stability of the equation of homomorphism and completeness of the underlying space [PDF]

open access: yesOpuscula Mathematica, 2008
We prove that all assumptions of a Theorem of Forti and Schwaiger (cf. [G. L. Forti, J. Schwaiger, Stability of homomorphisms and completeness, C. R. Math. Rep. Acad. Sci.
Zenon Moszner
doaj  

A Functional Equation in Arithmetic [PDF]

open access: yesTransactions of the American Mathematical Society, 1936
which occurs in all theories of numerical functions hitherto considered. The two most highly developed theories of this kind are those in which multiplication in the ring of all numerical functions is abstractly identical with C (Cauchy) or D (Dirichlet) multiplication of infinite series.t Lehmer's five postulates are sufficient for the development of ...
openaire   +3 more sources

Spectral ℝ-Linear Problems: Applications to Complex Permittivity of Coated Cylinders

open access: yesMathematics
A composite-coated inclusion is embedded in a matrix, where the conductivity (permittivity) of the phases is assumed to be complex-valued. The purpose of this paper is to demonstrate that a non-zero flux can arise under specific conditions related to the
Zhanat Zhunussova, Vladimir Mityushev
doaj   +1 more source

Analytic Embedding of Geometries of Constant Curvature on a Pseudosphere [PDF]

open access: yesИзвестия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2019
In mathematical studies, the geometries of maximum mobility are important. Examples of such geometries are Euclidean, pseudo-Euclidean, Lobachevsky, symplectic and so on. There is no complete classification of such geometries.
Vladimir A. Kyrov
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An Analytical and Numerical Detour for the Riemann Hypothesis

open access: yesInformation, 2021
From the functional equation F(s)=F(1−s) of Riemann’s zeta function, this article gives new insight into Hadamard’s product formula. The function S1(s)=d(lnF(s))/ds and its family of associated Sm functions, expressed as a sum of rational fractions, are ...
Michel Riguidel
doaj   +1 more source

Fixed point theorems for mappings satisfying contractive conditions of integral type and applications

open access: yesFixed Point Theory and Applications, 2011
In this paper, the existence, uniqueness and iterative approximations of fixed points for contractive mappings of integral type in complete metric spaces are established.
Kang Shin, Cho Sun, Liu Zeqing, Li Xin
doaj  

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